55800768 has 56 divisors (see below), whose sum is σ = 148628608. Its totient is φ = 18475776.

The previous prime is 55800751. The next prime is 55800769. The reversal of 55800768 is 86700855.

It is a happy number.

55800768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55800768² = 6227451418779648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55800769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30405 + ... + 32187.

Almost surely, 2^55800768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314304).

55800768 is an abundant number, since it is smaller than the sum of its proper divisors (92827840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55800768 is a wasteful number, since it uses less digits than its factorization.

55800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 55800768 is about 7469.9911646534. The cubic root of 55800768 is about 382.1319865909.

The spelling of 55800768 in words is "fifty-five million, eight hundred thousand, seven hundred sixty-eight".